Answered

A student does 1,000 J of work when she moves to her dormitory. Her internal energy is decreased by 3,000 J. Determine the heat during this process. Does she gain or lose her heat?

Answer :

skyluke89

Answer:

-2000 J (heat lost)

Explanation:

We can solve the problem by using the 1st law of thermodynamics:

[tex]\Delta U = Q-W[/tex]

where

[tex]\Delta U[/tex] is the change in internal energy of a system

Q is the heat absorbed by the system

W is the work done by the system

In this situation, we have

[tex]W=1000 W[/tex] (work done by the student)

[tex]\Delta U = -3000 J[/tex] (decrease in internal energy)

So the heat is

[tex]Q=\Delta U + W = -3000 J +1000 J = -2000 J[/tex]

And the negative sign means the student has lost heat.

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